Atkin-Lehner |
2+ 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600bc |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-1055008800000000 = -1 · 211 · 39 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 5 -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19875,1898750] |
[a1,a2,a3,a4,a6] |
j |
-1488770/1809 |
j-invariant |
L |
0.88963285216052 |
L(r)(E,1)/r! |
Ω |
0.44481675930976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200ba1 120600bl1 |
Quadratic twists by: -3 5 |